89601336 has 128 divisors (see below), whose sum is σ = 278150400. Its totient is φ = 26490240.

The previous prime is 89601331. The next prime is 89601341. The reversal of 89601336 is 63310698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89601331) and next prime (89601341).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89601336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89601331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101730 + ... + 102606.

It is an arithmetic number, because the mean of its divisors is an integer number (2173050).

Almost surely, 2^89601336 is an apocalyptic number.

89601336 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89601336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139075200).

89601336 is an abundant number, since it is smaller than the sum of its proper divisors (188549064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89601336 is a wasteful number, since it uses less digits than its factorization.

89601336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 89601336 is about 9465.7982230766. The cubic root of 89601336 is about 447.4778008817.

It can be divided in two parts, 8960 and 1336, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 89601336 in words is "eighty-nine million, six hundred one thousand, three hundred thirty-six".